Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a busboy this month, and let u be the number of hours he works as an usher. His goal this month is to earn more than $1500 total. Using the values and variables given, write an inequality describing this.

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Answer:

The inequality describing the situation is:

[tex]7b+9u>1500[/tex]

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = [tex]b[/tex] hours

∴ Amount Joe would make this month working as a busboy =[tex]\$7\times b=\$7b[/tex]

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = [tex]u[/tex] hours

∴ Amount Joe would make this month working as a theater usher =[tex]\$9\times u=\$9u[/tex]

Total amount Joe would make this month =[tex]\$(7b+9u)[/tex]

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

[tex]7b+9u>1500[/tex]